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Finding the Fourth Proportional to 329,643.19, 494,464.74 and 119,231.92

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Solution

The fourth proportional to 329,643.19, 494,464.74 and 119,231.92 is: 178,847.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,643.19 : 494,464.74 = 119,231.92 : x
  2. Step 2: Convert to fraction form
    329,643.19/494,464.74 = 119,231.92/x
  3. Step 3: Cross multiply
    329,643.19x = 494,464.74 × 119,231.92
  4. Step 4: Simplify right side
    329,643.19x = 58,955,980,322.50
  5. Step 5: Solve for x
    x = 58,955,980,322.50/329,643.19
  6. Step 6: Final answer
    x = 178,847.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.